Question

domain of x^2-4/x^2-2x in interval notation

Answer 1

The denominator cannot equal zero.
Set the denominator equal to zero, and solve for x to determine which values of x will cause the denominator to equal zero. Then those values of x must be excluded from the domain.

Answer 2

so is it (-infinity, 0) u (0, infinity)

Answer 3

Are you sure 0 is the only solution to the equation:
x^2 - 2x = 0?

Answer 4

x=-2 also
right?

Answer 5

Factor the left side:
x^2 - 2x = 0
x(x - 2) = 0
Can you continue?

Answer 6

the top factors out to (x+2)(x-2) so the x-2 cancel out with the bottom

Answer 7

Forget the top. The restrictions are only in the denominator.

Answer 8

oh so x=0 x=2

Answer 9

You were trying to say this: